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Finding the Third Proportional to 206,428.29 and 290,697.82

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Solution

The third proportional to 206,428.29 and 290,697.82 is: 409,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,428.29 : 290,697.82 = 290,697.82 : x
  2. Step 2: Convert to fraction form
    206,428.29/290,697.82 = 290,697.82/x
  3. Step 3: Cross multiply
    206,428.29x = 290,697.82 × 290,697.82
  4. Step 4: Simplify right side
    206,428.29x = 84,505,222,734.44
  5. Step 5: Solve for x
    x = 84,505,222,734.44/206,428.29
  6. Step 6: Final answer
    x = 409,368.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.